Acronym quit sissiddip
Name quasitruncated-small-stellated-dodecahedron prism,
small-stellated-truncated-dodecahedron prism
Circumradius sqrt[(19-5 sqrt(5))/8] = 0.988665
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Dihedral angles
External
links
hedrondude  

As abstract polytope quit sissiddip is isomorphic to tigiddip, thereby replacing pentagons by pentagrams and decagrams by decagons, resp replacing quit sissid by tigid, pip by stip, and stiddip by dip.


Incidence matrix according to Dynkin symbol

x o5x5/3x

. . .   . | 120 |  1   2  1 |  2  1  1  2 |  1  2 1
----------+-----+-----------+-------------+--------
x . .   . |   2 | 60   *  * |  2  1  0  0 |  1  2 0
. . x   . |   2 |  * 120  * |  1  0  1  1 |  1  1 1
. . .   x |   2 |  *   * 60 |  0  1  0  2 |  0  2 1
----------+-----+-----------+-------------+--------
x . x   . |   4 |  2   2  0 | 60  *  *  * |  1  1 0
x . .   x |   4 |  2   0  2 |  * 30  *  * |  0  2 0
. o5x   . |   5 |  0   5  0 |  *  * 24  * |  1  0 1
. . x5/3x |  10 |  0   5  5 |  *  *  * 24 |  0  1 1
----------+-----+-----------+-------------+--------
x o5x   .   10 |  5  10  0 |  5  0  2  0 | 12  * *
x . x5/3x   20 | 10  10 10 |  5  5  0  2 |  * 12 *
. o5x5/3x   60 |  0  60 30 |  0  0 12 12 |  *  * 2

x o5/4x5/3x

. .   .   . | 120 |  1   2  1 |  2  1  1  2 |  1  2 1
------------+-----+-----------+-------------+--------
x .   .   . |   2 | 60   *  * |  2  1  0  0 |  1  2 0
. .   x   . |   2 |  * 120  * |  1  0  1  1 |  1  1 1
. .   .   x |   2 |  *   * 60 |  0  1  0  2 |  0  2 1
------------+-----+-----------+-------------+--------
x .   x   . |   4 |  2   2  0 | 60  *  *  * |  1  1 0
x .   .   x |   4 |  2   0  2 |  * 30  *  * |  0  2 0
. o5/4x   . |   5 |  0   5  0 |  *  * 24  * |  1  0 1
. .   x5/3x |  10 |  0   5  5 |  *  *  * 24 |  0  1 1
------------+-----+-----------+-------------+--------
x o5/4x   .   10 |  5  10  0 |  5  0  2  0 | 12  * *
x .   x5/3x   20 | 10  10 10 |  5  5  0  2 |  * 12 *
. o5/4x5/3x   60 |  0  60 30 |  0  0 12 12 |  *  * 2

© 2004-2019
top of page